This book casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations.
However sets are construed numbers are not sets. Sets are important simply because they instantiate all the numbers and all the other properties and relations studied in mathematics. Set theory tempts us into misunderstanding the nature of mathematics; Bigelow challenges the myth that mathematical objects can be defined into existence.
By reconstruing numbers as real, non-linguistic, physical properties or relations, mathematics can be drawn back from its sterile, abstract exile into the midst of the physical world to which we belong.
"synopsis" may belong to another edition of this title.
The Reality of Numbers The author identifies natural, real and imaginary numbers with specified physical properties and relations and challenges the myth that mathematical objects can be defined into existence. Full description
'This book is written with obvious enthusiasm and a deep, and frequently expressed, conviction of the essential correctness of the view it seeks to promote.' Bob Hale, University of St Andrews. THES
'This is what philosophy ought to be: a grand vision combined with original and careful work on the details. It is presented with lucidity and modesty and good humour, and bedazzling technicalities. An admirable book.' David Lewis, Princeton University, Australasian Journal of Philosophy
'This is what philosophy ought to be: a grand vision combined with original and careful work on the details. It is presented with lucidity and modesty and good humour, and without bedazzling technicalities. An admirable book.' David Lewis, Princeton University, Australasian Journal of Philosophy
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Hardcover. Condition: new. Hardcover. This book casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations. However sets are construed numbers are not sets. Sets are important simply because they instantiate all the numbers and all the other properties and relations studied in mathematics. Set theory tempts us into misunderstanding thenature of mathematics; Bigelow challenges the myth that mathematical objects can be defined into existence. By reconstruing numbers as real, non-linguistic, physical properties orrelations, mathematics can be drawn back from its sterile, abstract exile into the midst of the physical world to which we belong. This casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780198249573
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Hardcover. Condition: new. Hardcover. This book casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations. However sets are construed numbers are not sets. Sets are important simply because they instantiate all the numbers and all the other properties and relations studied in mathematics. Set theory tempts us into misunderstanding thenature of mathematics; Bigelow challenges the myth that mathematical objects can be defined into existence. By reconstruing numbers as real, non-linguistic, physical properties orrelations, mathematics can be drawn back from its sterile, abstract exile into the midst of the physical world to which we belong. This casts new light on mathematics through its consideration of metaphysical materialism. The author identifies natural, real and imaginary numbers and sets with specified physical properties and relations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198249573
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